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Finding the Third Proportional to 3,669,497 and 8,290,329

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Solution

The third proportional to 3,669,497 and 8,290,329 is: 18,729,966.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669,497 : 8,290,329 = 8,290,329 : x
  2. Step 2: Convert to fraction form
    3,669,497/8,290,329 = 8,290,329/x
  3. Step 3: Cross multiply
    3,669,497x = 8,290,329 × 8,290,329
  4. Step 4: Simplify right side
    3,669,497x = 68,729,554,928,241
  5. Step 5: Solve for x
    x = 68,729,554,928,241/3,669,497
  6. Step 6: Final answer
    x = 18,729,966.24

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.